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Finding the Third Proportional to 6,766.88 and 12,187.13

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Solution

The third proportional to 6,766.88 and 12,187.13 is: 21,948.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.88 : 12,187.13 = 12,187.13 : x
  2. Step 2: Convert to fraction form
    6,766.88/12,187.13 = 12,187.13/x
  3. Step 3: Cross multiply
    6,766.88x = 12,187.13 × 12,187.13
  4. Step 4: Simplify right side
    6,766.88x = 148,526,015.77
  5. Step 5: Solve for x
    x = 148,526,015.77/6,766.88
  6. Step 6: Final answer
    x = 21,948.98

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.